Letteratura scientifica selezionata sul tema "Positivity of line bundles"
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Articoli di riviste sul tema "Positivity of line bundles":
YANG, QILIN. "(k, s)-POSITIVITY AND VANISHING THEOREMS FOR COMPACT KÄHLER MANIFOLDS". International Journal of Mathematics 22, n. 04 (aprile 2011): 545–76. http://dx.doi.org/10.1142/s0129167x11006908.
Ein, Lawrence, Oliver Küchle e Robert Lazarsfeld. "Local positivity of ample line bundles". Journal of Differential Geometry 42, n. 2 (1995): 193–219. http://dx.doi.org/10.4310/jdg/1214457231.
Szemberg, Tomasz. "On positivity of line bundles on Enriques surfaces". Transactions of the American Mathematical Society 353, n. 12 (30 luglio 2001): 4963–72. http://dx.doi.org/10.1090/s0002-9947-01-02788-x.
Küronya, Alex, e Victor Lozovanu. "Positivity of Line Bundles and Newton-Okounkov Bodies". Documenta Mathematica 22 (2017): 1285–302. http://dx.doi.org/10.4171/dm/596.
Biswas, Indranil, Krishna Hanumanthu e D. S. Nagaraj. "Positivity of vector bundles on homogeneous varieties". International Journal of Mathematics 31, n. 12 (24 settembre 2020): 2050097. http://dx.doi.org/10.1142/s0129167x20500974.
Varolin, Dror. "A Takayama-type extension theorem". Compositio Mathematica 144, n. 2 (marzo 2008): 522–40. http://dx.doi.org/10.1112/s0010437x07002989.
Hanumanthu, Krishna. "Positivity of line bundles on special blow ups ofP2". Journal of Pure and Applied Algebra 221, n. 9 (settembre 2017): 2372–82. http://dx.doi.org/10.1016/j.jpaa.2016.12.038.
Hanumanthu, Krishna. "Positivity of line bundles on general blow ups of P2". Journal of Algebra 461 (settembre 2016): 65–86. http://dx.doi.org/10.1016/j.jalgebra.2016.04.029.
Lee, Sanghyeon, e Jaesun Shin. "Positivity of line bundles on general blow-ups of abelian surfaces". Journal of Algebra 524 (aprile 2019): 59–78. http://dx.doi.org/10.1016/j.jalgebra.2018.12.020.
Lundman, Anders. "Local positivity of line bundles on smooth toric varieties and Cayley polytopes". Journal of Symbolic Computation 74 (maggio 2016): 109–24. http://dx.doi.org/10.1016/j.jsc.2015.05.007.
Tesi sul tema "Positivity of line bundles":
Fang, Yanbo. "Study of positively metrized line bundles over a non-Archimedean field via holomorphic convexity". Thesis, Université de Paris (2019-....), 2020. http://www.theses.fr/2020UNIP7033.
This thesis is devoted to the study of semi-positively metrized line bundles in non-Archimedean analytic geometry, with the point of view of functional analysis over an ultra-metric field exploiting the geometry related to holomorphic convexity. The first chapter gathers some preliminaries about Banach algebras over ultra-metric fields and the geometry of their spectrum in the sense of V. Berkovich, which is the framework of our study. The second chapter present the basic construction, which encodes the related geometric information into some Banach algebra. We associate the normed algebra of sections of a metrized line bundle. We describe its spectrum, relating it with the dual unit disc bundle of this line bundle with respect to the envelope metric. We thus encode the metric positivity into the holomorphic convexity of the spectrum. The third chapter consists of two independent for the normed extension problem for restricted sections on a sub-variety. We obtain an upper bound for the asymptotic norm distorsion between the restricted section and the extended one, which is uniform with respect to the choice of restricted sections. We use a particular property of affinoid algebras to obtain this inequality. The fourth chapter treat the problem of regularity of the envelope metric. With a new look from the holomorphic analysis of several variables, we aime at showing that on ample line bundles, the envelop metric is continuous once the original metric is. We suggest a tentative approach based on a speculative analogue of Cartan-Thullen’s result in the non-Archimedean setting
Denisi, Francesco Antonio. "Positivité sur les variétés irréductibles holomorphes symplectiques". Electronic Thesis or Diss., Université de Lorraine, 2023. http://www.theses.fr/2023LORR0162.
In this thesis, we study some aspects of the positivity of divisors on irreducible holomorphic symplectic (IHS) manifolds. Fix a projective IHS manifold X of complex dimension 2n. Inspired by the work of Bauer, Küronya, and Szemberg, we show that the big cone of X has a locally finite decomposition into locally rational polyhedral subcones, called Boucksom-Zariski chambers. These subcones have a geometric meaning: on any of them, the volume function is expressed by a homogeneous polynomial of degree 2n. Furthermore, in the interior of any Boucksom-Zariski chamber, the divisorial part of the augmented base locus of big divisors stays the same. After analyzing the big cone, we determine the structure of the pseudo-effective cone of X, generalizing a well-known result due to Kovács for K3 surfaces. In particular, we show that if the Picard number of X is at least 3, the pseudo-effective cone either is circular or does not contain circular parts and is equal to the closure of the cone generated by the prime exceptional divisor classes. From this result in convex geometry, we deduce some geometric properties of X and show the existence of rigid uniruled divisors on some singular symplectic varieties. We study the behaviour of the asymptotic base loci of big divisors on X, and we provide a numerical characterization for them. As a consequence of this numerical characterization, we obtain a description for the dual of the cones mathrm{Amp}_k(X), for any 1leq k leq 2n, where mathrm{Amp}_k(X) is the convex cone of big divisor classes having the augmented base locus of dimension strictly smaller than k. Using the divisorial Zariski decomposition, the Beauville-Bogomolov-Fujiki (BBF) form, and the decomposition of the big cone of X into Boucksom-Zariski chambers, we associate to any big divisor class alpha and a prime divisor E on X a polygon Delta_E(alpha) whose geometry is related to the variation of the divisorial Zariski decomposition of alpha in the big cone. Its euclidean volume is expressed in terms of the BBF form and is independent of the choice of E. We show that these polygons fit in a convex cone Delta_E(X) as slices, globalizing in this way the construction. To conclude, we show that under some hypothesis, the polygons Delta_E(alpha) can be expressed as a Minkowski sum of some polygons {Delta_E(Beta_i)}_{i in I}, for some big classes {Beta_i}_{_ iin I}. Remarkably, these polygons behave like the Newton-Okounkov bodies of big divisors on smooth projective surfaces
Jabbusch, Kelly. "Notions of positivity for vector bundles /". Thesis, Connect to this title online; UW restricted, 2007. http://hdl.handle.net/1773/5772.
Granja, Gustavo 1971. "On quaternionic line bundles". Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/85302.
Ottem, John Christian. "Ample subschemes and partially positive line bundles". Thesis, University of Cambridge, 2013. https://www.repository.cam.ac.uk/handle/1810/265577.
Taylor, Lawrence. "Noncommutative tori, real multiplication and line bundles". Thesis, University of Nottingham, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.437094.
Bedi, Harpreet Singh. "Line Bundles of Rational Degree Over Perfectoid Space". Thesis, The George Washington University, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10681242.
In this thesis we lay the foundation for rational degree d as an element of Z[1/p] by using perfectoid analogue of projective space, and consider power series instead of polynomials. We start the groundwork by proving Weierstrass theorems for perfectoid spaces which are analogues of standard Weierstrass theorems in complex analysis. We then move onto defining sheaves for Projective perfectoid analogue and prove perfectoid analogues of Gorthendieck's classication theorem on projective line, Serre's theorem on Cohomology of line bundles. As intermediate results we also compute Picard groups and describe Cartier and Weil divisors for Perfectoid.
Andrews, Patrick Rowan. "Boiling on in-line and staggered tube bundles". Thesis, Heriot-Watt University, 1985. http://hdl.handle.net/10399/1608.
Petersen, Lars [Verfasser]. "Line bundles on complexity-one T-varieties and beyond / Lars Petersen". Berlin : Freie Universität Berlin, 2011. http://d-nb.info/1025240324/34.
Herrmann, Hendrik [Verfasser], George [Gutachter] Marinescu e Silvia [Gutachter] Sabatini. "Bergman Kernel Asymptotics for Partially Positive Line Bundles / Hendrik Herrmann ; Gutachter: George Marinescu, Silvia Sabatini". Köln : Universitäts- und Stadtbibliothek Köln, 2018. http://d-nb.info/1193177243/34.
Libri sul tema "Positivity of line bundles":
Abe, Takeshi. Strange duality for parabolic symplectic bundles on a pointed projective line. Kyoto, Japan: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2008.
Lazarsfeld, R. K. Positivity in Algebraic Geometry I : Classical Setting: Line Bundles and Linear Series. Springer, 2004.
Lazarsfeld, Robert. Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete). Springer, 2007.
Lazarsfeld, R. K. Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics). Springer, 2004.
Lazarsfeld, R. K. Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals. Springer, 2004.
Abe, Yukitaka, e Klaus Kopfermann. Toroidal Groups: Line Bundles, Cohomology and Quasi-Abelian Varieties. Springer London, Limited, 2003.
Abe, Yukitaka, e Klaus Kopfermann. Toroidal Groups: Line Bundles, Cohomology and Quasi-Abelian Varieties (Lecture Notes in Mathematics). Springer, 2001.
Lazarsfeld, R. K. Positivity in Algebraic Geometry II: Positivity for Vector Bundles, and Multiplier Ideals (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics). Springer, 2004.
Plan, Funny. Gratitude Journal: One-Line-A-Day to Give Thanks, Practice Positivity and Mindfulness. Independently Published, 2021.
Plan, Funny. Gratitude Journal: One-Line-A-Day to Give Thanks, Practice Positivity and Mindfulness. Independently Published, 2021.
Capitoli di libri sul tema "Positivity of line bundles":
Lazarsfeld, Robert. "Ample and Nef Line Bundles". In Positivity in Algebraic Geometry I, 7–119. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18808-4_3.
Bini, Gilberto, Fabio Felici, Margarida Melo e Filippo Viviani. "Appendix: Positivity Properties of Balanced Line Bundles". In Lecture Notes in Mathematics, 197–203. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11337-1_17.
Shiffman, Bernard, e Andrew John Sommese. "Vector Bundles: Geometric Positivity". In Vanishing Theorems on Complex Manifolds, 117–32. Boston, MA: Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4899-6680-3_6.
Lazarsfeld, Robert. "Ample and Nef Vector Bundles". In Positivity in Algebraic Geometry II, 7–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18810-7_2.
Lazarsfeld, Robert. "Numerical Properties of Ample Bundles". In Positivity in Algebraic Geometry II, 101–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18810-7_4.
Varolin, Dror. "Complex line bundles". In Graduate Studies in Mathematics, 61–86. Providence, Rhode Island: American Mathematical Society, 2011. http://dx.doi.org/10.1090/gsm/125/04.
Lazarsfeld, Robert. "Geometric Properties of Ample Vector Bundles". In Positivity in Algebraic Geometry II, 65–99. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18810-7_3.
Narasimhan, Raghavan. "Vector Bundles, Line Bundles and Divisors". In Compact Riemann Surfaces, 27–31. Basel: Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-8617-8_6.
Brunella, Marco. "Foliations and Line Bundles". In Birational Geometry of Foliations, 9–22. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-14310-1_2.
Birkenhake, Christina, e Herbert Lange. "Cohomology of Line Bundles". In Complex Abelian Varieties, 45–68. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06307-1_5.
Atti di convegni sul tema "Positivity of line bundles":
BERNDTSSON, BO. "COMPLEX BRUNN–MINKOWSKI THEORY AND POSITIVITY OF VECTOR BUNDLES". In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0080.
FREED, DANIEL S. "On Determinant Line Bundles". In Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0011.
Brzeziński, Tomasz, e Shahn Majid. "Line bundles on quantum spheres". In Particles, fields and gravitation. AIP, 1998. http://dx.doi.org/10.1063/1.57118.
CAROW-WATAMURA, URSULA, e SATOSHI WATAMURA. "LINE BUNDLES ON FUZZY ℂPN". In Proceedings of the COE International Workshop. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812775061_0006.
Herman, R. M. "Dipole Spectra of H2 and HD in Interstitial Channels in Carbon Nanotube Bundles". In SPECTRAL LINE SHAPES. AIP, 2002. http://dx.doi.org/10.1063/1.1525460.
Holl, Gerald, Michael Vierhauser, Wolfgang Heider, Paul Grübacher e Rick Rabiser. "Product line bundles for tool support in multi product lines". In the 5th Workshop. New York, New York, USA: ACM Press, 2011. http://dx.doi.org/10.1145/1944892.1944895.
Holl, Gerald. "Product line bundles to support product derivation in multi product lines". In the 15th International Software Product Line Conference. New York, New York, USA: ACM Press, 2011. http://dx.doi.org/10.1145/2019136.2019184.
Sarto, M. S., e A. Tamburrano. "Multiconductor transmission line modeling of SWCNT bundles in common-mode excitation". In 2006 IEEE International Symposium on Electromagnetic Compatibility, 2006. EMC 2006. IEEE, 2006. http://dx.doi.org/10.1109/isemc.2006.1706349.
Virk, Muhammad S. "Atmospheric icing of transmission line circular conductor bundles in triplex configuration". In 2016 IEEE International Conference on Power and Renewable Energy (ICPRE). IEEE, 2016. http://dx.doi.org/10.1109/icpre.2016.7871122.
Riznyk, Oleg, Yurii Kynash, Olexandr Povshuk e Yurii Noga. "The Method of Encoding Information in the Images Using Numerical Line Bundles". In 2018 IEEE 13th International Scientific and Technical Conference on Computer Sciences and Information Technologies (CSIT). IEEE, 2018. http://dx.doi.org/10.1109/stc-csit.2018.8526751.
Rapporti di organizzazioni sul tema "Positivity of line bundles":
James-Scott, Alisha, Rachel Savoy, Donna Lynch-Smith e tracy McClinton. Impact of Central Line Bundle Care on Reduction of Central Line Associated-Infections: A Scoping Review. University of Tennessee Health Science Center, novembre 2021. http://dx.doi.org/10.21007/con.dnp.2021.0014.